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Finding the Third Proportional to 428,840.50 and 628,938

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Solution

The third proportional to 428,840.50 and 628,938 is: 922,401.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,840.50 : 628,938 = 628,938 : x
  2. Step 2: Convert to fraction form
    428,840.50/628,938 = 628,938/x
  3. Step 3: Cross multiply
    428,840.50x = 628,938 × 628,938
  4. Step 4: Simplify right side
    428,840.50x = 395,563,007,844
  5. Step 5: Solve for x
    x = 395,563,007,844/428,840.50
  6. Step 6: Final answer
    x = 922,401.24

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.